801429002136 has 288 divisors, whose sum is σ = 2571472800000. Its totient is φ = 220879612800.

The previous prime is 801429002111. The next prime is 801429002183. The reversal of 801429002136 is 631200924108.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 801429002136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160315365 + ... + 160320363.

It is an arithmetic number, because the mean of its divisors is an integer number (8928725000).

Almost surely, 2^801429002136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801429002136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285736400000).

801429002136 is an abundant number, since it is smaller than the sum of its proper divisors (1770043797864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

801429002136 is a wasteful number, since it uses less digits than its factorization.

801429002136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 801429002136 in words is "eight hundred one billion, four hundred twenty-nine million, two thousand, one hundred thirty-six".